8668945264896 has 648 divisors, whose sum is σ = 30356299209600. Its totient is φ = 2460089511936.

The previous prime is 8668945264849. The next prime is 8668945264921. The reversal of 8668945264896 is 6984625498668.

8668945264896 is a `hidden beast` number, since 8 + 6 + 6 + 8 + 9 + 4 + 526 + 4 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×8668945264896² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 454171065 + ... + 454190151.

Almost surely, 2^{8668945264896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8668945264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178149604800).

8668945264896 is an abundant number, since it is smaller than the sum of its proper divisors (21687353944704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8668945264896 is a wasteful number, since it uses less digits than its factorization.

8668945264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19281 (or 19248 counting only the distinct ones).

The product of its digits is 8599633920, while the sum is 81.

The spelling of 8668945264896 in words is "eight trillion, six hundred sixty-eight billion, nine hundred forty-five million, two hundred sixty-four thousand, eight hundred ninety-six".